Quant Exam > Quant Questions > Priya borrows 1000 rupees at the rate of 11% ...
Start Learning for Free
Priya borrows 1000 rupees at the rate of 11% per annum on SI and rahul borrows 780 rupees at the rate of 15% per annum on SI. In how many years will the amount of debt of priya and rahul be equal.
- a)31.3/7 yrs
- b)31.2/7yrs
- c)32.1/7yrs
- d)32.2/7yrs
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Priya borrows 1000 rupees at the rate of 11% per annum on SI and rahul...
To find the number of years it will take for Priya and Rahul's debts to be equal, we can set up equations for the amounts they owe over time.
Let's start with Priya's debt:
Principal amount = 1000 rupees
Rate of interest = 11% per annum
The formula for Simple Interest (SI) is:
SI = (Principal * Rate * Time) / 100
Let's assume the time taken for the debts to be equal is 't' years.
So, Priya's debt after 't' years will be:
Debt_Priya = Principal + SI = 1000 + (1000 * 11 * t) / 100
Now, let's move on to Rahul's debt:
Principal amount = 780 rupees
Rate of interest = 15% per annum
Rahul's debt after 't' years will be:
Debt_Rahul = Principal + SI = 780 + (780 * 15 * t) / 100
We need to find the value of 't' when Debt_Priya = Debt_Rahul.
Setting the equations equal to each other:
1000 + (1000 * 11 * t) / 100 = 780 + (780 * 15 * t) / 100
To solve this equation, we can simplify it by multiplying through by 100:
100000 + 11000t = 78000 + 11700t
Next, we can simplify further by rearranging the terms:
1100t - 11700t = 78000 - 100000
-10600t = -22000
Dividing both sides by -10600:
t = 22000 / 10600
t = 2.075 years
But the answer options are given in a fraction form. So, let's convert the decimal to fraction.
t = 2.075 years = 2 + 0.075 years
t = 2 + (75/1000) years = 2 + (3/40) years
Thus, the number of years it will take for Priya and Rahul's debts to be equal is 2 + (3/40) years.
The answer closest to this value is option 'A': 31.3/7 years.
Let's start with Priya's debt:
Principal amount = 1000 rupees
Rate of interest = 11% per annum
The formula for Simple Interest (SI) is:
SI = (Principal * Rate * Time) / 100
Let's assume the time taken for the debts to be equal is 't' years.
So, Priya's debt after 't' years will be:
Debt_Priya = Principal + SI = 1000 + (1000 * 11 * t) / 100
Now, let's move on to Rahul's debt:
Principal amount = 780 rupees
Rate of interest = 15% per annum
Rahul's debt after 't' years will be:
Debt_Rahul = Principal + SI = 780 + (780 * 15 * t) / 100
We need to find the value of 't' when Debt_Priya = Debt_Rahul.
Setting the equations equal to each other:
1000 + (1000 * 11 * t) / 100 = 780 + (780 * 15 * t) / 100
To solve this equation, we can simplify it by multiplying through by 100:
100000 + 11000t = 78000 + 11700t
Next, we can simplify further by rearranging the terms:
1100t - 11700t = 78000 - 100000
-10600t = -22000
Dividing both sides by -10600:
t = 22000 / 10600
t = 2.075 years
But the answer options are given in a fraction form. So, let's convert the decimal to fraction.
t = 2.075 years = 2 + 0.075 years
t = 2 + (75/1000) years = 2 + (3/40) years
Thus, the number of years it will take for Priya and Rahul's debts to be equal is 2 + (3/40) years.
The answer closest to this value is option 'A': 31.3/7 years.
Free Test
FREE
| Start Free Test |
Community Answer
Priya borrows 1000 rupees at the rate of 11% per annum on SI and rahul...
Answer –a) 31.3/7 yrs Solution: 1000 + 1000*(11/100)*T = 780 + 780*(15/100)*T
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
Priya borrows 1000 rupees at the rate of 11% per annum on SI and rahul borrows 780 rupees at the rate of 15% per annum on SI. In how many years will the amount of debt of priya and rahul be equal.a)31.3/7 yrsb)31.2/7yrsc)32.1/7yrsd)32.2/7yrsCorrect answer is option 'A'. Can you explain this answer?
Question Description
Priya borrows 1000 rupees at the rate of 11% per annum on SI and rahul borrows 780 rupees at the rate of 15% per annum on SI. In how many years will the amount of debt of priya and rahul be equal.a)31.3/7 yrsb)31.2/7yrsc)32.1/7yrsd)32.2/7yrsCorrect answer is option 'A'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Priya borrows 1000 rupees at the rate of 11% per annum on SI and rahul borrows 780 rupees at the rate of 15% per annum on SI. In how many years will the amount of debt of priya and rahul be equal.a)31.3/7 yrsb)31.2/7yrsc)32.1/7yrsd)32.2/7yrsCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Priya borrows 1000 rupees at the rate of 11% per annum on SI and rahul borrows 780 rupees at the rate of 15% per annum on SI. In how many years will the amount of debt of priya and rahul be equal.a)31.3/7 yrsb)31.2/7yrsc)32.1/7yrsd)32.2/7yrsCorrect answer is option 'A'. Can you explain this answer?.
Priya borrows 1000 rupees at the rate of 11% per annum on SI and rahul borrows 780 rupees at the rate of 15% per annum on SI. In how many years will the amount of debt of priya and rahul be equal.a)31.3/7 yrsb)31.2/7yrsc)32.1/7yrsd)32.2/7yrsCorrect answer is option 'A'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Priya borrows 1000 rupees at the rate of 11% per annum on SI and rahul borrows 780 rupees at the rate of 15% per annum on SI. In how many years will the amount of debt of priya and rahul be equal.a)31.3/7 yrsb)31.2/7yrsc)32.1/7yrsd)32.2/7yrsCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Priya borrows 1000 rupees at the rate of 11% per annum on SI and rahul borrows 780 rupees at the rate of 15% per annum on SI. In how many years will the amount of debt of priya and rahul be equal.a)31.3/7 yrsb)31.2/7yrsc)32.1/7yrsd)32.2/7yrsCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Priya borrows 1000 rupees at the rate of 11% per annum on SI and rahul borrows 780 rupees at the rate of 15% per annum on SI. In how many years will the amount of debt of priya and rahul be equal.a)31.3/7 yrsb)31.2/7yrsc)32.1/7yrsd)32.2/7yrsCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of Priya borrows 1000 rupees at the rate of 11% per annum on SI and rahul borrows 780 rupees at the rate of 15% per annum on SI. In how many years will the amount of debt of priya and rahul be equal.a)31.3/7 yrsb)31.2/7yrsc)32.1/7yrsd)32.2/7yrsCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Priya borrows 1000 rupees at the rate of 11% per annum on SI and rahul borrows 780 rupees at the rate of 15% per annum on SI. In how many years will the amount of debt of priya and rahul be equal.a)31.3/7 yrsb)31.2/7yrsc)32.1/7yrsd)32.2/7yrsCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Priya borrows 1000 rupees at the rate of 11% per annum on SI and rahul borrows 780 rupees at the rate of 15% per annum on SI. In how many years will the amount of debt of priya and rahul be equal.a)31.3/7 yrsb)31.2/7yrsc)32.1/7yrsd)32.2/7yrsCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Priya borrows 1000 rupees at the rate of 11% per annum on SI and rahul borrows 780 rupees at the rate of 15% per annum on SI. In how many years will the amount of debt of priya and rahul be equal.a)31.3/7 yrsb)31.2/7yrsc)32.1/7yrsd)32.2/7yrsCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Priya borrows 1000 rupees at the rate of 11% per annum on SI and rahul borrows 780 rupees at the rate of 15% per annum on SI. In how many years will the amount of debt of priya and rahul be equal.a)31.3/7 yrsb)31.2/7yrsc)32.1/7yrsd)32.2/7yrsCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup